is_thoughtful bool | uuid string | chunk_index int64 | chunk_start_index int64 | chunk_end_index int64 | num_scored_tokens int64 | input_ids list | thought_text list | g list | truncated list | thoughtless_log_prob_sum float32 | thoughtless_log_prob_per_token list | thoughtful_log_prob_sum list | thoughtful_log_prob_per_token list |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
false | 0025547a-231d-4655-80c3-0bb46b5b26f4 | 116 | 3,712 | 3,744 | 32 | [] | [] | [] | [] | -30.118126 | null | [] | [] |
false | 0025547a-231d-4655-80c3-0bb46b5b26f4 | 117 | 3,744 | 3,776 | 32 | [] | [] | [] | [] | -17.999123 | null | [] | [] |
false | 0025547a-231d-4655-80c3-0bb46b5b26f4 | 118 | 3,776 | 3,808 | 32 | [] | [] | [] | [] | -12.336861 | null | [] | [] |
false | 0025547a-231d-4655-80c3-0bb46b5b26f4 | 119 | 3,808 | 3,840 | 32 | [] | [] | [] | [] | -8.108624 | null | [] | [] |
true | 0025547a-231d-4655-80c3-0bb46b5b26f4 | 120 | 3,840 | 3,872 | 32 | [
[
13708,
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320,
50,
3263,
576,
1790,
3950,
1969,
387,
279,
2086,
6524,
315,
279,
74... | [
"<thought>\nThe cut occurs mid-acronym formation, specifically at the end of \"PALS (S\". The next token must be the second letter of the acronym, which is likely \"A\", continuing the expansion of \"PALS\". Given the structure of the previous paragraph and the naming convention used (PAL to PALS), the next token i... | [
0
] | [
false
] | -66.701302 | [
-0.62109375,
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-3.203125,
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... | [
-65.99148559570312
] | [
[
-1.015625,
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-7.125,
-0.59765625,
-1.0859375,
-2.015625,
-0.60546875,
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-0.81640625,
-3.03125,
-2.96875,
-0.0067138671875,
-3.453125,
-1.5390625... |
false | 0025547a-231d-4655-80c3-0bb46b5b26f4 | 121 | 3,872 | 3,904 | 32 | [] | [] | [] | [] | -56.273315 | null | [] | [] |
true | 0025547a-231d-4655-80c3-0bb46b5b26f4 | 122 | 3,904 | 3,936 | 32 | [
[
13708,
2450,
397,
785,
1467,
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12,
27727,
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220,
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25,
35825,
1119,
2692,
19639,
32273,
3263,
576,
1790,
2421,
11211,
1969,
3060,
419,
11652... | [
"<thought>\nThe text cuts off mid-paragraph at the phrase \"Modification 1: Taking into account prediction variance\". The next few tokens must continue this sentence, which is introducing the first modification to the PAL algorithm. Since it begins with \"Taking into account prediction variance\", the most likely ... | [
0
] | [
false
] | -70.710106 | [
-0.07568359375,
-0.025146484375,
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-0.1611328125,
-0.034423828125,
-1.1953125,
-3.609375,
-2.640625,
-0.57421875,
-0.00... | [
-69.90129852294922
] | [
[
-0.060791015625,
-0.28125,
-0.7109375,
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-1.296875,
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-5.9375,
-4.1875,
-0.1162109375,
-0.029296875,
-1.265625,
-3,
-2.90625,
... |
false | 0025547a-231d-4655-80c3-0bb46b5b26f4 | 123 | 3,936 | 3,968 | 32 | [] | [] | [] | [] | -56.721245 | null | [] | [] |
false | 0025547a-231d-4655-80c3-0bb46b5b26f4 | 124 | 3,968 | 4,000 | 32 | [] | [] | [] | [] | -69.763046 | null | [] | [] |
false | 0025547a-231d-4655-80c3-0bb46b5b26f4 | 125 | 4,000 | 4,032 | 32 | [] | [] | [] | [] | -57.799843 | null | [] | [] |
false | 0025547a-231d-4655-80c3-0bb46b5b26f4 | 126 | 4,032 | 4,064 | 32 | [] | [] | [] | [] | -106.238647 | null | [] | [] |
false | 0025547a-231d-4655-80c3-0bb46b5b26f4 | 127 | 4,064 | 4,096 | 32 | [] | [] | [] | [] | -67.684158 | null | [] | [] |
false | 003884d9-86be-462c-a20b-8f7186a96e70 | 0 | 0 | 32 | 31 | [] | [] | [] | [] | -63.862747 | null | [] | [] |
false | 003884d9-86be-462c-a20b-8f7186a96e70 | 1 | 32 | 64 | 32 | [] | [] | [] | [] | -54.6283 | null | [] | [] |
false | 003884d9-86be-462c-a20b-8f7186a96e70 | 2 | 64 | 96 | 32 | [] | [] | [] | [] | -55.157776 | null | [] | [] |
false | 003884d9-86be-462c-a20b-8f7186a96e70 | 3 | 96 | 128 | 32 | [] | [] | [] | [] | -36.871376 | null | [] | [] |
false | 003884d9-86be-462c-a20b-8f7186a96e70 | 4 | 128 | 160 | 32 | [] | [] | [] | [] | -31.023916 | null | [] | [] |
false | 003884d9-86be-462c-a20b-8f7186a96e70 | 5 | 160 | 192 | 32 | [] | [] | [] | [] | -65.218582 | null | [] | [] |
false | 003884d9-86be-462c-a20b-8f7186a96e70 | 6 | 192 | 224 | 32 | [] | [] | [] | [] | -22.4212 | null | [] | [] |
false | 003884d9-86be-462c-a20b-8f7186a96e70 | 7 | 224 | 256 | 32 | [] | [] | [] | [] | -25.187313 | null | [] | [] |
false | 003884d9-86be-462c-a20b-8f7186a96e70 | 8 | 256 | 288 | 32 | [] | [] | [] | [] | -44.787529 | null | [] | [] |
false | 003884d9-86be-462c-a20b-8f7186a96e70 | 9 | 288 | 320 | 32 | [] | [] | [] | [] | -43.914856 | null | [] | [] |
false | 003884d9-86be-462c-a20b-8f7186a96e70 | 10 | 320 | 352 | 32 | [] | [] | [] | [] | -55.401386 | null | [] | [] |
true | 003884d9-86be-462c-a20b-8f7186a96e70 | 11 | 352 | 384 | 32 | [
[
13708,
2450,
397,
785,
1467,
374,
5099,
62259,
367,
11,
3432,
1101,
21376,
311,
6979,
279,
3076,
6629,
400,
296,
56014,
7141,
47822,
7,
74,
9139,
11520,
50853,
8,
400,
448,
264,
6783... | [
"<thought>\nThe text is mid-equation, having just begun to define the mean measure $ m_\\alpha^{(k)}(\\cdot) $ with a constant term $ (c_\\alpha^2 w_k^{2}/2) $. The next tokens will most likely continue the equation, introducing a term involving the Lebesgue measure or a spatial integral kernel, as is standard for ... | [
0
] | [
false
] | -27.43416 | [
-4.4375,
-0.00537109375,
-1.140625,
-1.3046875,
-0.09130859375,
-0.00006866455078125,
-0.07373046875,
-0.000006318092346191406,
-0.390625,
-0.26953125,
-0.023193359375,
-0.0020294189453125,
-0.000522613525390625,
-0.008544921875,
-0.10791015625,
-1.0546875,
-0.55859375,
-2.59375,
... | [
-22.923690795898438
] | [
[
-3.25,
-0.0107421875,
-1.046875,
-0.796875,
-0.08154296875,
-0.000021696090698242188,
-0.087890625,
-0.000025987625122070312,
-0.330078125,
-0.359375,
-0.033203125,
-0.00335693359375,
-0.000514984130859375,
-0.010009765625,
-0.0791015625,
-0.76953125... |
false | 003884d9-86be-462c-a20b-8f7186a96e70 | 12 | 384 | 416 | 32 | [] | [] | [] | [] | -29.519173 | null | [] | [] |
false | 003884d9-86be-462c-a20b-8f7186a96e70 | 13 | 416 | 448 | 32 | [] | [] | [] | [] | -8.807055 | null | [] | [] |
false | 003884d9-86be-462c-a20b-8f7186a96e70 | 14 | 448 | 480 | 32 | [] | [] | [] | [] | -61.407928 | null | [] | [] |
false | 003884d9-86be-462c-a20b-8f7186a96e70 | 15 | 480 | 512 | 32 | [] | [] | [] | [] | -61.965714 | null | [] | [] |
true | 003884d9-86be-462c-a20b-8f7186a96e70 | 16 | 512 | 544 | 32 | [
[
13708,
2450,
397,
785,
1467,
374,
5099,
30617,
3454,
11,
14376,
1007,
304,
279,
51578,
315,
14937,
400,
73,
28,
16,
26266,
507,
2412,
11,
281,
54876,
323,
279,
2971,
400,
73,
1699,
... | [
"<thought>\nThe text is mid-clause, cutting off in the enumeration of indices $j=1,\\ldots, p$, and the condition $j\\not$ suggests a comparison or exclusion (likely $j \\not= k$). The next few tokens must complete this condition, likely as $j \\not= k$, followed by a punctuation mark such as a comma or colon, and ... | [
0
] | [
false
] | -67.698364 | [
-0.004852294921875,
-0.0419921875,
-1.4609375,
-0.54296875,
-3.5,
-1.3359375,
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-2.265625,
-0.51171875,
-1.5546875,
-1.953125,
-0.4296875,
-1.90625,
-0.890625,
-3.234375,
-2.046875,
-0.99609375,
-0.359375,
-1.7890625,
-1.7109375,
-3.984375,
-1.21875,
-9.... | [
-64.94468688964844
] | [
[
-0.00482177734375,
-0.019287109375,
-1.1875,
-0.404296875,
-3.0625,
-1.7421875,
-11.3125,
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-2.53125,
-0.24609375,
-1.4765625,
-1.65625,
-0.427734375,
-1.625,
-0.86328125,
-2.96875,
-1.9453125,
-1.0390625,
-0.3984375,
-1.625,
... |
false | 003884d9-86be-462c-a20b-8f7186a96e70 | 17 | 544 | 576 | 32 | [] | [] | [] | [] | -44.551605 | null | [] | [] |
false | 003884d9-86be-462c-a20b-8f7186a96e70 | 18 | 576 | 608 | 32 | [] | [] | [] | [] | -71.645203 | null | [] | [] |
false | 003884d9-86be-462c-a20b-8f7186a96e70 | 19 | 608 | 640 | 32 | [] | [] | [] | [] | -52.937805 | null | [] | [] |
true | 003884d9-86be-462c-a20b-8f7186a96e70 | 20 | 640 | 672 | 32 | [
[
13708,
2450,
397,
785,
1467,
374,
5099,
1331,
18380,
304,
279,
7271,
315,
279,
6629,
400,
296,
15159,
59,
7141,
10327,
92,
400,
11,
892,
374,
13302,
438,
458,
25098,
13,
576,
3931,
... | [
"<thought>\nThe text is mid-sentence in the definition of the measure $ m_{\\alpha,j} $, which is expressed as an integral. The cut occurs at \"int_0^\", indicating the start of an integral's upper limit. The next tokens will almost certainly complete this as \"int_0^\\infty\", since such integrals over the positiv... | [
0
] | [
false
] | -47.457123 | [
-0.06298828125,
-0.02587890625,
-0.002655029296875,
-0.10400390625,
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-3.84375,
-3.125,
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-5.84375,
-0.1279296875,
-1.765625,
-2.25,
-1.6640625,
-0.66015625,
-0.22265625,
-0.052490234375,
-0.03564453125,
-0.051025390625,
-0.033203125,
-0.0205078125,
... | [
-38.984588623046875
] | [
[
-0.024658203125,
-0.0174560546875,
-0.005767822265625,
-0.08447265625,
-0.0537109375,
-3.296875,
-3.234375,
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-6.53125,
-0.1982421875,
-1.2734375,
-1.2109375,
-1.171875,
-0.310546875,
-0.1904296875,
-0.056640625,
-0.02294921875,
... |
false | 003884d9-86be-462c-a20b-8f7186a96e70 | 21 | 672 | 704 | 32 | [] | [] | [] | [] | -63.602982 | null | [] | [] |
false | 003884d9-86be-462c-a20b-8f7186a96e70 | 22 | 704 | 736 | 32 | [] | [] | [] | [] | -31.48493 | null | [] | [] |
false | 003884d9-86be-462c-a20b-8f7186a96e70 | 23 | 736 | 768 | 32 | [] | [] | [] | [] | -45.530193 | null | [] | [] |
false | 003884d9-86be-462c-a20b-8f7186a96e70 | 24 | 768 | 800 | 32 | [] | [] | [] | [] | -61.26664 | null | [] | [] |
true | 003884d9-86be-462c-a20b-8f7186a96e70 | 25 | 800 | 832 | 32 | [
[
13708,
2450,
397,
785,
1467,
374,
5099,
89050,
315,
279,
4621,
3570,
59,
13233,
293,
92,
47822,
7,
73,
16147,
9139,
54876,
892,
7952,
304,
279,
30094,
580,
9477,
729,
2878,
279,
2509... | [
"<thought>\nThe text is mid-definition of the vector ${\\bf b}^{(j,k)}$, which appears in the Dirac delta function within the integral expression for $m_{\\alpha,j}$. The immediate next tokens will likely clarify or define this vector, possibly as a normalized difference or direction between points indexed by $j$ a... | [
0
] | [
false
] | -14.526624 | [
-0.1796875,
-1.4609375,
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-1.828125,
-0.08544921875,
-0.000583648681640625,
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-0.003265380859375,
-0.027587890625,
-0.0037994384765625,
-0.7578125,
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-5.125,
-4.09375,
-0.115234375,
-0.00628662109375,
-0.00089263916015625,
-0.001609802246... | [
-15.663755416870117
] | [
[
-0.2099609375,
-1.515625,
-0.053466796875,
-3.265625,
-0.078125,
-0.0005645751953125,
-0.00087738037109375,
-0.0025482177734375,
-0.006622314453125,
-0.008544921875,
-0.474609375,
-0.041259765625,
-5.5,
-3.65625,
-0.162109375,
-0.00909423828125,
... |
false | 003884d9-86be-462c-a20b-8f7186a96e70 | 26 | 832 | 864 | 32 | [] | [] | [] | [] | -23.948503 | null | [] | [] |
false | 003884d9-86be-462c-a20b-8f7186a96e70 | 27 | 864 | 896 | 32 | [] | [] | [] | [] | -40.590691 | null | [] | [] |
false | 003884d9-86be-462c-a20b-8f7186a96e70 | 28 | 896 | 928 | 32 | [] | [] | [] | [] | -86.998779 | null | [] | [] |
false | 003884d9-86be-462c-a20b-8f7186a96e70 | 29 | 928 | 960 | 32 | [] | [] | [] | [] | -44.960064 | null | [] | [] |
false | 003884d9-86be-462c-a20b-8f7186a96e70 | 30 | 960 | 992 | 32 | [] | [] | [] | [] | -19.706186 | null | [] | [] |
false | 003884d9-86be-462c-a20b-8f7186a96e70 | 31 | 992 | 1,024 | 32 | [] | [] | [] | [] | -30.647057 | null | [] | [] |
false | 003884d9-86be-462c-a20b-8f7186a96e70 | 32 | 1,024 | 1,056 | 32 | [] | [] | [] | [] | -37.041664 | null | [] | [] |
false | 003884d9-86be-462c-a20b-8f7186a96e70 | 33 | 1,056 | 1,088 | 32 | [] | [] | [] | [] | -30.912327 | null | [] | [] |
false | 003884d9-86be-462c-a20b-8f7186a96e70 | 34 | 1,088 | 1,120 | 32 | [] | [] | [] | [] | -28.929815 | null | [] | [] |
false | 003884d9-86be-462c-a20b-8f7186a96e70 | 35 | 1,120 | 1,152 | 32 | [] | [] | [] | [] | -14.869241 | null | [] | [] |
false | 003884d9-86be-462c-a20b-8f7186a96e70 | 36 | 1,152 | 1,184 | 32 | [] | [] | [] | [] | -48.022839 | null | [] | [] |
false | 003884d9-86be-462c-a20b-8f7186a96e70 | 37 | 1,184 | 1,216 | 32 | [] | [] | [] | [] | -55.503193 | null | [] | [] |
false | 003884d9-86be-462c-a20b-8f7186a96e70 | 38 | 1,216 | 1,248 | 32 | [] | [] | [] | [] | -126.103668 | null | [] | [] |
false | 003884d9-86be-462c-a20b-8f7186a96e70 | 39 | 1,248 | 1,280 | 32 | [] | [] | [] | [] | -106.93396 | null | [] | [] |
false | 003884d9-86be-462c-a20b-8f7186a96e70 | 40 | 1,280 | 1,312 | 32 | [] | [] | [] | [] | -104.792847 | null | [] | [] |
false | 003884d9-86be-462c-a20b-8f7186a96e70 | 41 | 1,312 | 1,344 | 32 | [] | [] | [] | [] | -87.549774 | null | [] | [] |
true | 003884d9-86be-462c-a20b-8f7186a96e70 | 42 | 1,344 | 1,376 | 32 | [
[
13708,
2450,
397,
785,
1467,
15104,
1007,
5099,
62259,
367,
5785,
11,
11689,
518,
1124,
11006,
1097,
90,
68,
11,
72867,
279,
1790,
11211,
686,
4583,
279,
5785,
311,
458,
23606,
2383,
... | [
"<thought>\nThe text cuts off mid-equation reference, specifically at \\eqref{e, implying the next tokens will complete the reference to an equation label. The most plausible continuation is the label being referenced, likely \"e:converge\" or a similar label, followed by a closing parenthesis and a punctuation mar... | [
0
] | [
false
] | -78.600281 | [
-0.10009765625,
-1,
-0.00885009765625,
-1.6875,
-2.078125,
-4,
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-1.421875,
-0.9140625,
-0.640625,
-1.546875,
-4.09375,
-3.03125,
-7.5,
-0.01495361328125,
-0.033... | [
-81.11920166015625
] | [
[
-0.3359375,
-0.79296875,
-0.004150390625,
-1.6171875,
-2.09375,
-4.09375,
-7.34375,
-1.8203125,
-1.328125,
-4.09375,
-1.4453125,
-0.064453125,
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-4.375,
-5.375,
-9.5,
-1.546875,
-1.03125,
-0.8203125,
-1.59375,
-4.1875,
... |
false | 003884d9-86be-462c-a20b-8f7186a96e70 | 43 | 1,376 | 1,408 | 32 | [] | [] | [] | [] | -93.248337 | null | [] | [] |
true | 003884d9-86be-462c-a20b-8f7186a96e70 | 44 | 1,408 | 1,440 | 32 | [
[
13708,
2450,
397,
785,
1467,
374,
5099,
1331,
18380,
11,
13391,
448,
330,
258,
400,
74,
28,
16,
26266,
507,
2412,
7237,
54876,
497,
892,
23945,
264,
5114,
911,
279,
10284,
55441,
916... | [
"<thought>\nThe text is mid-sentence, ending with \"in $k=1,\\ldots,p$,\", which implies a statement about the joint convergence over multiple indices. The next few tokens will likely continue the grammatical structure of the sentence, possibly specifying the nature of the convergence (e.g., \"in distribution\", \"... | [
0
] | [
false
] | -79.089233 | [
-0.09521484375,
-0.000301361083984375,
-0.9921875,
-1.6796875,
-3.328125,
-1.4453125,
-0.337890625,
-5.8125,
-0.51171875,
-1.234375,
-0.031494140625,
-0.1298828125,
-12.5,
-7.6875,
-3.890625,
-11.25,
-0.26953125,
-0.22265625,
-0.00177001953125,
-0.439453125,
-2.421875,
-0.3... | [
-78.38812255859375
] | [
[
-0.06982421875,
-0.00030517578125,
-1.0703125,
-1.46875,
-2.5,
-1.25,
-0.388671875,
-6.1875,
-0.5390625,
-1.0859375,
-0.0262451171875,
-0.1162109375,
-12.625,
-8.0625,
-4.09375,
-11.1875,
-0.1806640625,
-0.2236328125,
-0.001953125,
-0... |
false | 003884d9-86be-462c-a20b-8f7186a96e70 | 45 | 1,440 | 1,472 | 32 | [] | [] | [] | [] | -57.925999 | null | [] | [] |
false | 003884d9-86be-462c-a20b-8f7186a96e70 | 46 | 1,472 | 1,504 | 32 | [] | [] | [] | [] | -55.419411 | null | [] | [] |
false | 003884d9-86be-462c-a20b-8f7186a96e70 | 47 | 1,504 | 1,536 | 32 | [] | [] | [] | [] | -66.196495 | null | [] | [] |
true | 003884d9-86be-462c-a20b-8f7186a96e70 | 48 | 1,536 | 1,568 | 32 | [
[
13708,
2450,
397,
785,
1467,
374,
5099,
1331,
18380,
11,
5099,
62259,
367,
11,
323,
5099,
12,
27710,
11,
448,
279,
1537,
9434,
3950,
1660,
1565,
44,
1089,
28587,
16246,
279,
4867,
22... | [
"<thought>\nThe text is mid-sentence, mid-equation, and mid-phrase, with the last visible token being `M_n`. Given the prior context, the next token is almost certainly the superscript `(1)` to continue the tuple of processes $(M_n^{(1)},\\ldots,M_n$. The next few tokens will then follow the pattern established in ... | [
0
] | [
false
] | -28.277016 | [
-0.006988525390625,
-1.7421875,
-3.609375,
-0.21484375,
-0.00016021728515625,
-0.1435546875,
-0.0272216796875,
-0.01495361328125,
-1.21875,
-4.375,
-1.0078125,
-7.03125,
-2.25,
-0.003265380859375,
-0.0064697265625,
-0.00347900390625,
-1.046875,
-0.375,
-0.89453125,
-0.171875,
... | [
-31.58489227294922
] | [
[
-0.00738525390625,
-1.8203125,
-4.71875,
-0.40625,
-0.002410888671875,
-0.193359375,
-0.0390625,
-0.01025390625,
-1.1640625,
-4.71875,
-1.75,
-6.5625,
-2.03125,
-0.005584716796875,
-0.0091552734375,
-0.00640869140625,
-1.1171875,
-0.48828125,... |
false | 003884d9-86be-462c-a20b-8f7186a96e70 | 49 | 1,568 | 1,600 | 32 | [] | [] | [] | [] | -62.883179 | null | [] | [] |
false | 003884d9-86be-462c-a20b-8f7186a96e70 | 50 | 1,600 | 1,632 | 32 | [] | [] | [] | [] | -104.537598 | null | [] | [] |
true | 003884d9-86be-462c-a20b-8f7186a96e70 | 51 | 1,632 | 1,664 | 32 | [
[
13708,
2450,
397,
785,
1790,
220,
23,
11211,
686,
1429,
4363,
387,
264,
15316,
95356,
8110,
553,
279,
55441,
7735,
323,
279,
3930,
11,
438,
279,
1482,
1555,
374,
458,
32143,
23606,
1... | [
"<thought>\nThe next 8 tokens will most likely be a closing parenthesis followed by the convergence symbol and the limit, as the current line is an incomplete equation. Specifically, the current line ends at “M_\\alpha^{(p)})”, and the next content must complete the convergence statement, likely continuing with “\\... | [
0
] | [
false
] | -62.098835 | [
-1.28125,
-0.9375,
-0.9609375,
-3.96875,
-2.6875,
-0.328125,
-2.59375,
-3.84375,
-3.421875,
-2.5625,
-0.035888671875,
-5.65625,
-3.203125,
-0.1650390625,
-1.0078125,
-7.375,
-0.8359375,
-1.0390625,
-4.53125,
-3.828125,
-3.953125,
-0.004150390625,
-2.671875,
-5.125,
-0... | [
-62.58708953857422
] | [
[
-0.875,
-0.87890625,
-0.9140625,
-4.1875,
-2.6875,
-0.326171875,
-2.671875,
-3.90625,
-3.328125,
-2.53125,
-0.03369140625,
-6.1875,
-2.921875,
-0.154296875,
-1.125,
-7.90625,
-0.91015625,
-0.99609375,
-5,
-3.65625,
-2.984375,
... |
false | 003884d9-86be-462c-a20b-8f7186a96e70 | 52 | 1,664 | 1,696 | 32 | [] | [] | [] | [] | -37.937531 | null | [] | [] |
false | 003884d9-86be-462c-a20b-8f7186a96e70 | 53 | 1,696 | 1,728 | 32 | [] | [] | [] | [] | -9.284714 | null | [] | [] |
false | 003884d9-86be-462c-a20b-8f7186a96e70 | 54 | 1,728 | 1,760 | 32 | [] | [] | [] | [] | -33.327492 | null | [] | [] |
false | 003884d9-86be-462c-a20b-8f7186a96e70 | 55 | 1,760 | 1,792 | 32 | [] | [] | [] | [] | -24.21949 | null | [] | [] |
false | 003884d9-86be-462c-a20b-8f7186a96e70 | 56 | 1,792 | 1,824 | 32 | [] | [] | [] | [] | -23.927734 | null | [] | [] |
false | 003884d9-86be-462c-a20b-8f7186a96e70 | 57 | 1,824 | 1,856 | 32 | [] | [] | [] | [] | -43.780643 | null | [] | [] |
false | 003884d9-86be-462c-a20b-8f7186a96e70 | 58 | 1,856 | 1,888 | 32 | [] | [] | [] | [] | -73.280182 | null | [] | [] |
false | 003884d9-86be-462c-a20b-8f7186a96e70 | 59 | 1,888 | 1,920 | 32 | [] | [] | [] | [] | -31.183327 | null | [] | [] |
false | 003884d9-86be-462c-a20b-8f7186a96e70 | 60 | 1,920 | 1,952 | 32 | [] | [] | [] | [] | -49.872169 | null | [] | [] |
false | 003884d9-86be-462c-a20b-8f7186a96e70 | 61 | 1,952 | 1,984 | 32 | [] | [] | [] | [] | -26.511902 | null | [] | [] |
false | 003884d9-86be-462c-a20b-8f7186a96e70 | 62 | 1,984 | 2,016 | 32 | [] | [] | [] | [] | -30.706099 | null | [] | [] |
false | 003884d9-86be-462c-a20b-8f7186a96e70 | 63 | 2,016 | 2,048 | 32 | [] | [] | [] | [] | -54.138512 | null | [] | [] |
false | 003884d9-86be-462c-a20b-8f7186a96e70 | 64 | 2,048 | 2,080 | 32 | [] | [] | [] | [] | -54.510071 | null | [] | [] |
false | 003884d9-86be-462c-a20b-8f7186a96e70 | 65 | 2,080 | 2,112 | 32 | [] | [] | [] | [] | -53.040794 | null | [] | [] |
false | 003884d9-86be-462c-a20b-8f7186a96e70 | 66 | 2,112 | 2,144 | 32 | [] | [] | [] | [] | -65.025635 | null | [] | [] |
false | 003884d9-86be-462c-a20b-8f7186a96e70 | 67 | 2,144 | 2,176 | 32 | [] | [] | [] | [] | -95.770752 | null | [] | [] |
false | 003884d9-86be-462c-a20b-8f7186a96e70 | 68 | 2,176 | 2,208 | 32 | [] | [] | [] | [] | -12.39806 | null | [] | [] |
false | 003884d9-86be-462c-a20b-8f7186a96e70 | 69 | 2,208 | 2,240 | 32 | [] | [] | [] | [] | -90.829834 | null | [] | [] |
false | 003884d9-86be-462c-a20b-8f7186a96e70 | 70 | 2,240 | 2,272 | 32 | [] | [] | [] | [] | -86.980469 | null | [] | [] |
false | 003884d9-86be-462c-a20b-8f7186a96e70 | 71 | 2,272 | 2,304 | 32 | [] | [] | [] | [] | -76.890327 | null | [] | [] |
false | 003884d9-86be-462c-a20b-8f7186a96e70 | 72 | 2,304 | 2,336 | 32 | [] | [] | [] | [] | -61.886185 | null | [] | [] |
true | 003884d9-86be-462c-a20b-8f7186a96e70 | 73 | 2,336 | 2,368 | 32 | [
[
13708,
2450,
397,
785,
3931,
13666,
5099,
37328,
304,
279,
23606,
2383,
1036,
59,
16154,
75,
7,
575,
9336,
22561,
279,
13922,
1790,
11211,
686,
4583,
279,
2115,
95356,
323,
4363,
19131,
... | [
"<thought>\nThe cut occurs mid-word in the equation label “\\bigl( u”, suggesting the immediate next tokens will complete the left parenthesis and likely introduce a variable or expression within a norm or expectation context. Given the theorem’s setup and the use of $M_\\alpha^{(k)}$, the next tokens will likely b... | [
0
] | [
false
] | -82.789078 | [
-8.5,
-7.40625,
-1.9375,
-4.75,
-11.1875,
-2.5625,
-0.4375,
-0.423828125,
-7.0625,
-4.8125,
-4.875,
-0.2578125,
-0.0184326171875,
-1.703125,
-0.9609375,
-2.765625,
-2.859375,
-3.140625,
-6.15625,
-3.203125,
-0.34765625,
-0.0033111572265625,
-0.5625,
-0.298828125,
-2.0... | [
-90.052734375
] | [
[
-8.375,
-8.5,
-2.5,
-5.03125,
-10.25,
-6.1875,
-0.44140625,
-0.5703125,
-7.34375,
-4.625,
-5.15625,
-0.310546875,
-0.0145263671875,
-1.890625,
-0.76953125,
-2.953125,
-3.484375,
-3.34375,
-6.28125,
-3.453125,
-0.41015625,
-0.0... |
false | 003884d9-86be-462c-a20b-8f7186a96e70 | 74 | 2,368 | 2,400 | 32 | [] | [] | [] | [] | -71.299438 | null | [] | [] |
false | 003884d9-86be-462c-a20b-8f7186a96e70 | 75 | 2,400 | 2,432 | 32 | [] | [] | [] | [] | -39.73542 | null | [] | [] |
false | 003884d9-86be-462c-a20b-8f7186a96e70 | 76 | 2,432 | 2,464 | 32 | [] | [] | [] | [] | -30.763548 | null | [] | [] |
false | 003884d9-86be-462c-a20b-8f7186a96e70 | 77 | 2,464 | 2,496 | 32 | [] | [] | [] | [] | -36.51181 | null | [] | [] |
false | 003884d9-86be-462c-a20b-8f7186a96e70 | 78 | 2,496 | 2,528 | 32 | [] | [] | [] | [] | -22.704586 | null | [] | [] |
false | 003884d9-86be-462c-a20b-8f7186a96e70 | 79 | 2,528 | 2,560 | 32 | [] | [] | [] | [] | -14.268324 | null | [] | [] |
true | 003884d9-86be-462c-a20b-8f7186a96e70 | 80 | 2,560 | 2,592 | 32 | [
[
13708,
2450,
397,
785,
3931,
13666,
5099,
1331,
18380,
304,
279,
6149,
315,
458,
23606,
11,
11689,
518,
279,
835,
315,
279,
7493,
57960,
1242,
15159,
74,
12947,
576,
1790,
3950,
1969,
... | [
"<thought>\nThe cut occurs mid-sentence in the middle of an equation, specifically at the end of the expression $\\sum_{k$. The next token must be the continuation of the summation index, likely a closing subscript or a variable following $k$, such as $=1$ or $=1}^p$. Given the context of summing over indices $k=1,... | [
0
] | [
false
] | -49.339645 | [
-0.5546875,
-2.40625,
-0.95703125,
-0.05126953125,
-0.3515625,
-0.076171875,
-1.0546875,
-2.484375,
-3.46875,
-2.375,
-1.5234375,
-0.2021484375,
-0.0130615234375,
-0.294921875,
-0.400390625,
-1.8203125,
-0.1669921875,
-4.8125,
-1.0078125,
-0.90234375,
-0.388671875,
-0.38671... | [
-48.150428771972656
] | [
[
-0.55078125,
-2.9375,
-0.3046875,
-0.055419921875,
-0.240234375,
-0.040771484375,
-0.6796875,
-2.421875,
-3.375,
-3.546875,
-0.9453125,
-0.326171875,
-0.018798828125,
-0.2216796875,
-0.51953125,
-2.578125,
-0.185546875,
-4.53125,
-0.94140... |
false | 003884d9-86be-462c-a20b-8f7186a96e70 | 81 | 2,592 | 2,624 | 32 | [] | [] | [] | [] | -91.459351 | null | [] | [] |
false | 003884d9-86be-462c-a20b-8f7186a96e70 | 82 | 2,624 | 2,656 | 32 | [] | [] | [] | [] | -70.394859 | null | [] | [] |
false | 003884d9-86be-462c-a20b-8f7186a96e70 | 83 | 2,656 | 2,688 | 32 | [] | [] | [] | [] | -61.122334 | null | [] | [] |
false | 003884d9-86be-462c-a20b-8f7186a96e70 | 84 | 2,688 | 2,720 | 32 | [] | [] | [] | [] | -83.362549 | null | [] | [] |
false | 003884d9-86be-462c-a20b-8f7186a96e70 | 85 | 2,720 | 2,752 | 32 | [] | [] | [] | [] | -82.878181 | null | [] | [] |
false | 003884d9-86be-462c-a20b-8f7186a96e70 | 86 | 2,752 | 2,784 | 32 | [] | [] | [] | [] | -55.562222 | null | [] | [] |
false | 003884d9-86be-462c-a20b-8f7186a96e70 | 87 | 2,784 | 2,816 | 32 | [] | [] | [] | [] | -18.96488 | null | [] | [] |
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